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Finding the Third Proportional to 709,023.38 and 1,071,974.25

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Solution

The third proportional to 709,023.38 and 1,071,974.25 is: 1,620,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,023.38 : 1,071,974.25 = 1,071,974.25 : x
  2. Step 2: Convert to fraction form
    709,023.38/1,071,974.25 = 1,071,974.25/x
  3. Step 3: Cross multiply
    709,023.38x = 1,071,974.25 × 1,071,974.25
  4. Step 4: Simplify right side
    709,023.38x = 1,149,128,792,663.06
  5. Step 5: Solve for x
    x = 1,149,128,792,663.06/709,023.38
  6. Step 6: Final answer
    x = 1,620,720.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.